Classifying space for U(n)
id:
classifying-space-for-u-n-315-7350279
title:
Classifying space for U(n)
text:
In mathematics, the classifying space for the unitary group U(n) is a space BU(n) together with a universal bundle EU(n) such that any hermitian bundle on a paracompact space X is the pull-back of EU(n) by a map X → BU(n) unique up to homotopy. This space with its universal fibration may be constructed as either the Grassmannian of n-planes in an infinite-dimensional complex Hilbert space; or,
the direct limit, with the induced topology, of Grassmannians of n planes. Both constructions are detai
brand slug:
wiki
category slug:
encyclopedia
description:
Exact homotopy case
original url:
https://en.wikipedia.org/wiki/Classifying_space_for_U(n)
date created:
date modified:
2024-03-15T08:40:20Z
main entity:
{"identifier":"Q5128446","url":"https://www.wikidata.org/entity/Q5128446"}
image:
fields total:
13
integrity:
14